Determina los valores de a y B para que el par ordenado sea la solución del sistema. A) Ax + By = - 8 SOL : (2, - 3) 3x - by = 22 B) Ax + By = - 5 SOL : (23, - 17) Bx + 2Ay = 1 C)3x + Ay = - 3 SOL : ( - 5, 3) Bx - 2y = - 16 D)Ax - By = 5 SOL : ( - 3, - 10) Bx + y = - 4.
En resumen
Respuesta : B) Ax + By = - 5 SOL : (23, - 17)Bx + 2Ay = 1C)3x + Ay = - 3 SOL : ( - 5, 3)Bx - 2y = - 16D)Ax - By = 5 SOL : ( - 3, - 10)Bx + y = - 4.
Respuesta : B) Ax + By = - 5 SOL : (23, - 17)Bx + 2Ay = 1C)3x + Ay = - 3 SOL : ( - 5, 3)Bx - 2y = - 16D)Ax - By = 5 SOL : ( - 3, - 10)Bx + y = - 4.
Para el primer sistema sustituimos el par ordenado <img src="https://tex.z-dn.net/?f=%282%2C-3%29" /> y buscamos que se verifiquen las igualdades entonces : <img src="https://tex.z-dn.net/?f=%5Cleft%5Clbrace%5Cbegin%7Barray%7D%7Brcl%7DAx%2BBy%26%3D%26-8%5C%5C3x-by%26%3D%2622%5Cend%7Barray%7D%5Cright.%5C%5C%5Ctextbf%7BContinuando%3A%7D%5C%5C%5Cleft%5Clbrace%5Cbegin%7Barray%7D%7Brcl%7D-x%2B2y%26%3D-8%5C%5C3x-%5Cfrac%7B16%7D%7B3%7Dy%26%3D%2622%5Cend%7Barray%7D%5Cright.%5C%5C%5Ctextbf%7BLuego%3A%7D%20%5C%5CA%3D-1%5C%2C%5C%2C%2CB%3D2%5C%2C%5C%2C%2CD%3D%5Cfrac%7B16%7D%7B3%7D%5C%5C%5Ctextbf%7BPara%20el%20siguiente%20sistema%7D%5C%5C%5Ctextbf%7Bcon%20%2823%2C-17%29%20nos%20queda%3A%7D%5C%5C%5Cleft%5Clbrace%5Cbegin%7Barray%7D%7Brcl%7DAx%2BBy%26%3D%26-5%5C%5CCx%2B2Dy%26%3D%26-1%5Cend%7Barray%7D%5Cright.%5C%5C%5Cleft%5Clbrace%5Cbegin%7Barray%7D%7Brcl%7D2x%2B3y%26%3D%26-5%5C%5C-x-2%5Cfrac%7B12%7D%7B17%7Dy%26%3D%261%5Cend%7Barray%7D%5Cright.%5C%5C%5Ctextbf%7BAs%5C%27i%7D%20%5C%5CA%3D2%5C%2C%5C%2C%2CB%3D3%5C%2C%5C%2C%2CC%3D-1%5C%2C%5C%2C%2CD%3D2%5Cleft%28-%5Cfrac%7B12%7D%7B17%7D%5Cright%29%3D-%5Cfrac%7B24%7D%7B17%7D%5C%5C%5Ctextbf%7BContinuando%20el%20siguiente%20sistema%20con%28-5%2C3%29%20nos%20queda%3A%7D%5C%5C%5Cleft%5Clbrace%5Cbegin%7Barray%7D%7Brcl%7D3x%2BAy%26%3D%26-3%5C%5CBx-2y%26%3D%26-16%5Cend%7Barray%7D%5Cright.%5C%5C%5Cleft%5Clbrace%5Cbegin%7Barray%7D%7Brcl%7D3x%2B4y%26%3D%26-3%5C%5C2x-2y%26%3D%26-16%5Cend%7Barray%7D%5Cright.%5C%5CA%3D4%5C%2C%5C%2C%2CB%3D2%5C%5C%5Ctextbf%7BEl%20%5C%27ultimo%20sistema%20nos%20queda%3A%7D%5C%5C%5Ctextbf%7Bcon%20%28-3%2C-10%29%7D%5C%5C%5Cleft%5Clbrace%5Cbegin%7Barray%7D%7Brcl%7DAx-By%26%3D%265%5C%5CCx%2By%3D-4%5Cend%7Barray%7D%5Cright.%5C%5C%5Cleft%5Clbrace%5Cbegin%7Barray%7D%7Brcl%7D-5x%2By%26%3D%265%5C%5C-2x%2By%26%3D%26-4%5Cend%7Barray%7D%5Cright.%5C%5CA%3D-5%5C%2C%5C%2CB%3D1%5C%2C%5C%2C%2CC%3D-2" />.
Respuesta : xd yo tambien la nesecito.
Ahi te va la solución.
Respuesta : = [(a + b + c) / 97]xExplicación paso a paso : Lo que se puede hacer es factorizaSacado factor común literal xx(a + b + c) / 97.
Ax + bx + cx ; factor comun x = x(a + b + c).